S-asymptotically $ \omega $-periodic mild solutions and stability analysis of Hilfer fractional evolution equations

Abstract

In this article, we deal with the existence of S-asymptotically ωperiodic mild solutions of Hilfer fractional evolution equations. We also investigate the Ulam-Hyers and Ulam-Hyers-Rassias stability of similar solutions. These results are established in Banach space with the help of resolvent operator functions and fixed point technique on an unbounded interval. An example is also presented for the illustration of obtained results.